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Finding the Fourth Proportional to 470,701.10, 706,051.65 and 470,701.10

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Solution

The fourth proportional to 470,701.10, 706,051.65 and 470,701.10 is: 706,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,701.10 : 706,051.65 = 470,701.10 : x
  2. Step 2: Convert to fraction form
    470,701.10/706,051.65 = 470,701.10/x
  3. Step 3: Cross multiply
    470,701.10x = 706,051.65 × 470,701.10
  4. Step 4: Simplify right side
    470,701.10x = 332,339,288,311.82
  5. Step 5: Solve for x
    x = 332,339,288,311.82/470,701.10
  6. Step 6: Final answer
    x = 706,051.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.